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Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
The group Spin(3) is isomorphic to the special unitary group SU(2); it is also diffeomorphic to the unit 3-sphere S 3 and can be understood as the group of versors (quaternions with absolute value 1).
In mathematics, a recurrence relation is an equation according to which the th term of a sequence of numbers is equal to some combination of the previous terms. Often, only k {\displaystyle k} previous terms of the sequence appear in the equation, for a parameter k {\displaystyle k} that is independent of n {\displaystyle n} ; this number k ...
HegartyMaths was an educational subscription tool used by schools in the United Kingdom.It was sometimes used as a replacement for general mathematics homework tasks. [1] Its creator, Colin Hegarty, was the UK Teacher of the Year in 2015 and shortlisted for the Varkey Foundation's Global Teacher Prize in 2016.
Initially proposed by Marco Dorigo in 1992 in his PhD thesis, [6] [7] the first algorithm was aiming to search for an optimal path in a graph, based on the behavior of ants seeking a path between their colony and a source of food. The original idea has since diversified to solve a wider class of numerical problems, and as a result, several ...
The Hertzian differential equations predict that if two balls strike three, the fifth and fourth balls will leave with velocities of 1.14 and 0.80 times the initial velocity. [7] This is 2.03 times more kinetic energy in the fifth ball than the fourth ball, which means the fifth ball would swing twice as high in the vertical direction as the ...
In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then one can determine uniquely the remainder of the division of n by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1).
The sol or sol de oro from 1863 to 1985, at 1 sol = 10 reales. The inti from 1985 to 1991, at 1 inti = 1,000 soles de oro. Due to the bad state of economy and hyperinflation in the late 1980s, the government was forced to abandon the inti and introduce the sol as the country's new currency. [6]